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Finding the Fourth Proportional to 461,454.40, 692,181.60 and 162,272.80

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Solution

The fourth proportional to 461,454.40, 692,181.60 and 162,272.80 is: 243,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,454.40 : 692,181.60 = 162,272.80 : x
  2. Step 2: Convert to fraction form
    461,454.40/692,181.60 = 162,272.80/x
  3. Step 3: Cross multiply
    461,454.40x = 692,181.60 × 162,272.80
  4. Step 4: Simplify right side
    461,454.40x = 112,322,246,340.48
  5. Step 5: Solve for x
    x = 112,322,246,340.48/461,454.40
  6. Step 6: Final answer
    x = 243,409.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.